Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

15th January 2021

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
4 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
Capture Recapture2 marks
A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
3
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 2, and write down where the curve crosses the y-axis.
5
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 36. Work out y when x = 14.

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